Angle Bisectors of Two Intersecting Lines
This Demonstration plots the graphs of the equations of two lines in the form , , along with their two angle bisectors if the lines intersect.
If the lines intersect, the point of intersection is
The equations of the angle bisectors are obtained by solving
The slope of the angle bisector in terms of the slope of the two lines and is
The slope of the perpendicular to the angle bisector is
Note that .
The equation of the angle bisector in point-slope form is
and the equation of the perpendicular to the angle bisector at the point of intersection is